Solve p^4462-60000

Question

Simplify the expression

462 p^{4} - 60000

Evaluate

p^{4} \times 462 - 60000

Solution

462 p^{4} - 60000

Show Solution

6 (77 p^{4} - 10000)

Evaluate

p^{4} \times 462 - 60000

Use the commutative property to reorder the terms

462 p^{4} - 60000

Solution

6 (77 p^{4} - 10000)

Show Solution

p_{1} = - \frac{10 4 7 7 ^{3}}{77}, p_{2} = \frac{10 4 7 7 ^{3}}{77}

Alternative Form

p_{1} \approx - 3.375805, p_{2} \approx 3.375805

Evaluate

p^{4} \times 462 - 60000

To find the roots of the expression,set the expression equal to 0

p^{4} \times 462 - 60000 = 0

Use the commutative property to reorder the terms

462 p^{4} - 60000 = 0

Move the constant to the right-hand side and change its sign

462 p^{4} = 0 + 60000

Removing 0 doesn't change the value,so remove it from the expression

462 p^{4} = 60000

Divide both sides

\frac{462 p ^{4}}{462} = \frac{60000}{462}

Divide the numbers

p^{4} = \frac{60000}{462}

Cancel out the common factor 6

p^{4} = \frac{10000}{77}

Take the root of both sides of the equation and remember to use both positive and negative roots

p = \pm 4 \frac{10000}{77}

Simplify the expression

More Steps

Evaluate

4 \frac{10000}{77}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{4 10000}{4 77}

Simplify the radical expression

More Steps

Evaluate

410000

Write the number in exponential form with the base of 10

4 1 0^{4}

Reduce the index of the radical and exponent with 4

10

\frac{10}{4 77}

Multiply by the Conjugate

\frac{10 4 7 7 ^{3}}{4 77 \times 4 7 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

477 \times 4 7 7^{3}

The product of roots with the same index is equal to the root of the product

4 77 \times 7 7^{3}

Calculate the product

4 7 7^{4}

Reduce the index of the radical and exponent with 4

77

\frac{10 4 7 7 ^{3}}{77}

p = \pm \frac{10 4 7 7 ^{3}}{77}

Separate the equation into 2 possible cases

p = \frac{10 4 7 7 ^{3}}{77} p = - \frac{10 4 7 7 ^{3}}{77}

Solution

p_{1} = - \frac{10 4 7 7 ^{3}}{77}, p_{2} = \frac{10 4 7 7 ^{3}}{77}

Alternative Form

p_{1} \approx - 3.375805, p_{2} \approx 3.375805

Show Solution